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Finding the Fourth Proportional to 14,478.71, 21,754.34 and 9,215.96

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Solution

The fourth proportional to 14,478.71, 21,754.34 and 9,215.96 is: 13,847.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.71 : 21,754.34 = 9,215.96 : x
  2. Step 2: Convert to fraction form
    14,478.71/21,754.34 = 9,215.96/x
  3. Step 3: Cross multiply
    14,478.71x = 21,754.34 × 9,215.96
  4. Step 4: Simplify right side
    14,478.71x = 200,487,081.19
  5. Step 5: Solve for x
    x = 200,487,081.19/14,478.71
  6. Step 6: Final answer
    x = 13,847.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.